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242230656 = 2731274967
BaseRepresentation
bin11100111000000…
…10010110000000
3121212210120222210
432130002112000
5444002340111
640011502120
76000632553
oct1634022600
9555716883
10242230656
11114807528
1269157940
133b252265
142425669a
15163ec0a6
hexe702580

242230656 has 64 divisors (see below), whose sum is σ = 648622080. Its totient is φ = 80091648.

The previous prime is 242230619. The next prime is 242230657. The reversal of 242230656 is 656032242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242230657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46285 + ... + 51251.

It is an arithmetic number, because the mean of its divisors is an integer number (10134720).

Almost surely, 2242230656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242230656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324311040).

242230656 is an abundant number, since it is smaller than the sum of its proper divisors (406391424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242230656 is a wasteful number, since it uses less digits than its factorization.

242230656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 242230656 is about 15563.7609850576. The cubic root of 242230656 is about 623.3658910108.

Adding to 242230656 its reverse (656032242), we get a palindrome (898262898).

The spelling of 242230656 in words is "two hundred forty-two million, two hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 2032 3048 4064 4967 6096 8128 9934 12192 14901 16256 19868 24384 29802 39736 48768 59604 79472 119208 158944 238416 317888 476832 630809 635776 953664 1261618 1892427 1907328 2523236 3784854 5046472 7569708 10092944 15139416 20185888 30278832 40371776 60557664 80743552 121115328 242230656